I recently moved to New York State for a new job. I have an EB1-EA
self-petitioned case pending in TSC. Can I file another EB1-EA self petition at
VSC to increase my chance?

Answer:

Yes, you can file another petition at VSC. In the I-140 form, there is a
question "Has a immigration visa petition been filed by this person"?
This question refers to your previous I-140 petition. You must answer this
question and reference your pending petition of EB1-EA at TSC.